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Finding the Fourth Proportional to 422,002.44, 632,313.54 and 406,256.04

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Solution

The fourth proportional to 422,002.44, 632,313.54 and 406,256.04 is: 608,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,002.44 : 632,313.54 = 406,256.04 : x
  2. Step 2: Convert to fraction form
    422,002.44/632,313.54 = 406,256.04/x
  3. Step 3: Cross multiply
    422,002.44x = 632,313.54 × 406,256.04
  4. Step 4: Simplify right side
    422,002.44x = 256,881,194,798.78
  5. Step 5: Solve for x
    x = 256,881,194,798.78/422,002.44
  6. Step 6: Final answer
    x = 608,719.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.